Hybrid analysis of nonlinear circuits: DAE models with indices zero and one

García de la Vega, Ignacio y Riaza, Ricardo (2013). Hybrid analysis of nonlinear circuits: DAE models with indices zero and one. "Circuits, Systems, and Signal Processing", v. 32 (n. 5); pp. 2065-2095. ISSN 0278-081X. https://doi.org/10.1007/s00034-013-9570-y.

Descripción

Título: Hybrid analysis of nonlinear circuits: DAE models with indices zero and one
Autor/es:
  • García de la Vega, Ignacio
  • Riaza, Ricardo
Tipo de Documento: Artículo
Título de Revista/Publicación: Circuits, Systems, and Signal Processing
Fecha: Octubre 2013
Volumen: 32
Materias:
Palabras Clave Informales: Differential-algebraic equation, Index, Electrical circuit Hybrid analysis, Memristor
Escuela: E.T.S.I. Telecomunicación (UPM)
Departamento: Matemática Aplicada a las Tecnologías de la Información [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

Texto completo

[img]
Vista Previa
PDF (Document Portable Format) - Se necesita un visor de ficheros PDF, como GSview, Xpdf o Adobe Acrobat Reader
Descargar (2MB)

Resumen

We extend in this paper some previous results concerning the differential-algebraic index of hybrid models of electrical and electronic circuits. Specifically, we present a comprehensive index characterization which holds without passivity requirements, in contrast to previous approaches, and which applies to nonlinear circuits composed of uncoupled, one-port devices. The index conditions, which are stated in terms of the forest structure of certain digraph minors, do not depend on the specific tree chosen in the formulation of the hybrid equations. Additionally, we show how to include memristors in hybrid circuit models; in this direction, we extend the index analysis to circuits including active memristors, which have been recently used in the design of nonlinear oscillators and chaotic circuits. We also discuss the extension of these results to circuits with controlled sources, making our framework of interest in the analysis of circuits with transistors, amplifiers, and other multiterminal devices.

Más información

ID de Registro: 28876
Identificador DC: http://oa.upm.es/28876/
Identificador OAI: oai:oa.upm.es:28876
Identificador DOI: 10.1007/s00034-013-9570-y
URL Oficial: http://link.springer.com/article/10.1007%2Fs00034-013-9570-y
Depositado por: Memoria Investigacion
Depositado el: 04 Jun 2014 18:34
Ultima Modificación: 01 Nov 2014 23:56
  • Open Access
  • Open Access
  • Sherpa-Romeo
    Compruebe si la revista anglosajona en la que ha publicado un artículo permite también su publicación en abierto.
  • Dulcinea
    Compruebe si la revista española en la que ha publicado un artículo permite también su publicación en abierto.
  • Recolecta
  • e-ciencia
  • Observatorio I+D+i UPM
  • OpenCourseWare UPM